Question

Un triunghi are laturile de 10 cm , 13 cm si 15 cm. Aflati aria si inaltimea?

Answer 1

[tex]A= \sqrt{(p-a)(p-b)(p-c)}= \sqrt{19*9*4*6} =6 \sqrt{114}cm \\ p= \frac{a+b+c}{2}= \frac{15+13+10}{2}=19 \\ A= \frac{a h_{a} }{2} \\ 12 \sqrt{114}=10 h_{a} ; h_{a} =1,2 \sqrt{114}cm \\ 12 \sqrt{114}=13 h_{b} \\ h_{b} = \frac{12 \sqrt{114} }{13} \\ h_{c}= \frac{12 \sqrt{114} }{15} [/tex]